7930032480 has 288 divisors, whose sum is σ = 28042350336. Its totient is φ = 2039288832.

The previous prime is 7930032479. The next prime is 7930032491. The reversal of 7930032480 is 842300397.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5138589 + ... + 5140131.

It is an arithmetic number, because the mean of its divisors is an integer number (97369272).

Almost surely, 2^7930032480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7930032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14021175168).

7930032480 is an abundant number, since it is smaller than the sum of its proper divisors (20112317856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7930032480 is a wasteful number, since it uses less digits than its factorization.

7930032480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7930032480 is about 89050.7298117202. The cubic root of 7930032480 is about 1994.1522921537.

The spelling of 7930032480 in words is "seven billion, nine hundred thirty million, thirty-two thousand, four hundred eighty".